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Finding the Third Proportional to 191,502.98 and 412,546.92

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Solution

The third proportional to 191,502.98 and 412,546.92 is: 888,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,502.98 : 412,546.92 = 412,546.92 : x
  2. Step 2: Convert to fraction form
    191,502.98/412,546.92 = 412,546.92/x
  3. Step 3: Cross multiply
    191,502.98x = 412,546.92 × 412,546.92
  4. Step 4: Simplify right side
    191,502.98x = 170,194,962,748.54
  5. Step 5: Solve for x
    x = 170,194,962,748.54/191,502.98
  6. Step 6: Final answer
    x = 888,732.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.